You can make an equation.
Let x=oranges
p=plums
n=apples
n= 3p + 5x
So basically we know 1 Apple means Sam will pack 3 plums and 5 oranges
To get 3n which means 3 apples we have to multiply the whole equation by 3
(n= 3p + 5x) x3
3n=9p+15x
So Sam will also put 9 plums and 15 oranges if he puts 3 apples in the box
X²+5x+5 has zeroes given by x=(-5±√25-20)/2=(-5±√5)/2=-1.3820 and -3.6180.
In simplest radical form the zeroes are -5/2+√5/2 and -5/2-√5/2.
Answer:34p+16g=208
47p+16g=208
Step-by-step explanation:
Let p=the price of each pound of peaches.
Let g=the price of each pound of grapes.
Each pound of peaches sells for $p, so 34 pounds of peaches will bring in 34p dollars. Each pound of grapes will bring in 45g dollars. Therefore, the total amount 34p+45g=192.25
Likewise, if 47 pounds of peaches and 16 pounds of grapes brought in $208 then
47p+16g=208
34p+45g=192.25
47+16g=208
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let 
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 
. From this information we can gather that the cost function for this factory is,
On the other hand, if we let be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,
Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that
The company has to sell 134 750 units to break even.
Answer:
477
Step-by-step explanation:
Given that:
Number of trials (n) = 500
Mean (m) = 0
Standard deviation (s) = 1
how many readings fall within +/- 2.000 deg F of the mean value
Mean of 0 and standard deviation of 1
P(-2 ≤ x ≤ 2)
Using the Z probability calculator :
P(x ≤ 2) = 0.97725 ;
P(x ≤ - 2) = 0.02275
Hence :
P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545
Hence, number of readings in 500 trials:
0.9545 * 500 = 477.25
= 477 values
